129050304320961 has 9 divisors (see below), whose sum is σ = 186406044357091. Its totient is φ = 86033513493912.

The previous prime is 129050304320929. The next prime is 129050304321013. The reversal of 129050304320961 is 169023403050921.

The square root of 129050304320961 is 11360031.

It is a perfect power (a square), and thus also a powerful number.

129050304320961 is a `hidden beast` number, since 1 + 2 + 90 + 50 + 304 + 3 + 209 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96507341154225 + 32542963166736 = 9823815^2 + 5704644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 129050304320961 - 2⁵ = 129050304320929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129050304320261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32186755 + ... + 35973431.

Almost surely, 2^{129050304320961} is an apocalyptic number.

129050304320961 is the 11360031-st square number.

129050304320961 is the 5680016-th centered octagonal number.

It is an amenable number.

129050304320961 is a deficient number, since it is larger than the sum of its proper divisors (57355740036130).

129050304320961 is an frugal number, since it uses more digits than its factorization.

129050304320961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573360 (or 3786680 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 129050304320961 in words is "one hundred twenty-nine trillion, fifty billion, three hundred four million, three hundred twenty thousand, nine hundred sixty-one".